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Mathematics

Objective Paper

Sets, number bases, fractions, decimals, indices.

Number Bases
HIGH
Conversion between bases, operations in base 2, 8, 10, 16.
Objectives:
Candidates should be able to convert and perform arithmetic in different bases.
Indices and Logarithms
HIGH
Laws of indices, logarithms and their applications.
Objectives:
Candidates should be able to apply laws of indices and logarithms.
Sets
HIGH
Set notation, Venn diagrams, operations on sets.
Objectives:
Candidates should be able to solve problems involving sets.
Surds
MEDIUM
Rationalising denominators, simplifying surds.
Objectives:
Candidates should be able to simplify expressions involving surds.

Polynomials, equations, inequalities, sequences.

Quadratic Equations
HIGH
Factorisation, completing the square, formula.
Objectives:
Candidates should be able to solve quadratic equations.
Polynomials
HIGH
Remainder theorem, factor theorem.
Objectives:
Candidates should be able to factorise and find roots of polynomials.
Sequences and Series
HIGH
AP, GP, sum to infinity.
Objectives:
Candidates should be able to solve problems on AP and GP.
Inequalities
MEDIUM
Linear and quadratic inequalities.
Objectives:
Candidates should be able to solve inequalities and represent on number line.
Simultaneous Equations
HIGH
Linear and quadratic systems.
Objectives:
Candidates should be able to solve simultaneous equations.

Angles, circles, polygons, trig ratios.

Circle Geometry
HIGH
Chord, tangent, angle properties.
Objectives:
Candidates should be able to apply circle theorems.
Trigonometric Ratios
HIGH
Sin, cos, tan, and their applications.
Objectives:
Candidates should be able to solve right-angled and non-right-angled triangles.
Bearings and Distances
HIGH
Bearing, elevation, depression.
Objectives:
Candidates should be able to solve problems on bearings and distances.
Coordinate Geometry
HIGH
Midpoint, gradient, equation of line, distance.
Objectives:
Candidates should be able to solve problems in coordinate geometry.

Differentiation and integration.

Differentiation
HIGH
Rules of differentiation and applications.
Objectives:
Candidates should be able to differentiate functions and apply to rates.
Integration
HIGH
Rules of integration and area under curves.
Objectives:
Candidates should be able to integrate functions and find areas.

Measures of central tendency, probability.

Mean, Median, Mode
HIGH
Measures of central tendency.
Objectives:
Candidates should be able to compute measures of central tendency.
Probability
HIGH
Basic probability, addition and multiplication rules.
Objectives:
Candidates should be able to solve probability problems.
Subject Overview

Number, algebra, geometry, trigonometry, calculus and statistics.

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